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Ars Combinatoria

  • Research article

Enumeration of Rooted Loopless Unicursal Planar Maps

Shude Long1, Junliang Cai2
1Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing 402160, P.R.China
2School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R.China
  • Published: 31/10/2014

Abstract

In this paper we investigate the number of rooted loopless unicursal planar maps and present some formulae for such maps with up to three parameters: the number of edges and the valencies of the two odd vertices.

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